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3006877 = 10972741
BaseRepresentation
bin1011011110000110011101
312122202122211
423132012131
51232210002
6144240421
734362256
oct13360635
95582584
103006877
111774125
121010111
13813823
14583b2d
153e5dd7
hex2de19d

3006877 has 4 divisors (see below), whose sum is σ = 3010716. Its totient is φ = 3003040.

The previous prime is 3006851. The next prime is 3006881. The reversal of 3006877 is 7786003.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 872356 + 2134521 = 934^2 + 1461^2 .

It is a cyclic number.

It is not a de Polignac number, because 3006877 - 211 = 3004829 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

3006877 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 274 + ... + 2467.

It is an arithmetic number, because the mean of its divisors is an integer number (752679).

Almost surely, 23006877 is an apocalyptic number.

3006877 is the 1097-th heptagonal number.

It is an amenable number.

3006877 is a deficient number, since it is larger than the sum of its proper divisors (3839).

3006877 is a wasteful number, since it uses less digits than its factorization.

3006877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838.

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 3006877 is about 1734.0348900757. The cubic root of 3006877 is about 144.3350768220.

It can be divided in two parts, 3006 and 877, that added together give a palindrome (3883).

The spelling of 3006877 in words is "three million, six thousand, eight hundred seventy-seven".

Divisors: 1 1097 2741 3006877